The total voltage gain of the cascaded amplifiers is the product of their individual gains: \[ {Total Gain} = 10 \times 20 = 200 \] Now, multiply the input signal by the total gain: \[ {Output signal} = 0.01 \times 200 = 2 \, {V} \] Thus, the output AC signal is 2 V.
Final Answer: 2 V.
An inductor and a resistor are connected in series to an AC source of voltage \( 144\sin(100\pi t + \frac{\pi}{2}) \) volts. If the current in the circuit is \( 6\sin(100\pi t + \frac{\pi}{2}) \) amperes, then the resistance of the resistor is: